A cone, a hemisphere and a cylinder stand on equal bases of radius R a

1.	A cone, a hemisphere and a cylinder stand on equal bases of radius R and have equalheights H. Find the ratio of their whole surface areas.0.
Answer» Volume of cone = (1/3)πr2hVolume of hemisphere = (2/3)πr3 Volume of cylinder =πr2h Given that cone, hemisphere and cylinder have equal base and same height. That is r = hVolume of cone : Volume of hemisphere : Volume of cylinder = (1/3)πr2h :(2/3)πr3:πr2h= (1/3)πr3:(2/3)πr3:πr3= (1/3) : (2/3) : 1= 1: 2: 3

A cone, a hemisphere and a cylinder stand on equal bases of radius R and have equalheights H. Find the ratio of their whole surface areas.0.

Answer»

Volume of cone = (1/3)πr2hVolume of hemisphere = (2/3)πr3

Volume of cylinder =πr2h

Given that cone, hemisphere and cylinder have equal base and same height.

That is r = hVolume of cone : Volume of hemisphere : Volume of cylinder = (1/3)πr2h :(2/3)πr3:πr2h= (1/3)πr3:(2/3)πr3:πr3= (1/3) : (2/3) : 1= 1: 2: 3